Answer:
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
Solve for 
:
Now if 
, we have 
and
On the other hand, if 
, then 
and
Answer:
$20.00 dollars will be the new cost.
Step-by-step explanation:
Multiply $12.50 and 60% to get $7.50.
$7.50 plus $12.50 is $20.00.
Answer:
Step-by-step explanation:
Money spent on rent =1/3 of $576= 1/3×576= $192
Money spent on food = 1/4 of 576 = 1/4×576 =$144
Money left = 576-(192+144)=
=576-336= $240
The statements true about the the function f(x) = 2x2 – x – 6 are-
- The vertex of the function is (one-quarter, negative 6 and one-eighth).
- The function has two x-intercepts.
<h3>What is vertex of parabola?</h3>
The vertex of parabola is the point at the intersection of parabola and its line of symmetry.
Now the given function is,
f(x) = 2x^2 – x – 6
Also, it is given that the vertex is located at (0.25, -6) and the parabola opens up, the function has two x-intercepts.
Comparing the given function with standard form,
f(x) = a x^2 bx + c
By comprison we get,
a = 2
b = -1
c = -6
Now, x-coordinate of vertex is given as,
x = -b/2a
put the values we get,
x = -(-1)/2*2
or, x = 1/4
Put the value of x in given function, so y-coordinate of the vertex is given as,
f(1/4) = 2(1/4)² - 1/4 - 6
= -49/6
= -6 1/8
Hence, The statements true about the the function f(x) = 2x2 – x – 6 are-
- The vertex of the function is (one-quarter, negative 6 and one-eighth).
- The function has two x-intercepts.
More about vertex :
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